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Simplifying Lnx + ln(x + -4) = Lon Reorder the terms: nxL + ln(-4 + x) = Lon nxL + (-4 * ln + x * ln) = Lon nxL + (-4ln + lnx) = Lon Reorder the terms: -4ln + lnx + nxL = Lon Solving -4ln + lnx + nxL = noL Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-1nxL' to each side of the equation. -4ln + lnx + nxL + -1nxL = noL + -1nxL Combine like terms: nxL + -1nxL = 0 -4ln + lnx + 0 = noL + -1nxL -4ln + lnx = noL + -1nxL Reorder the terms: -4ln + lnx + -1noL + nxL = noL + -1noL + -1nxL + nxL Combine like terms: noL + -1noL = 0 -4ln + lnx + -1noL + nxL = 0 + -1nxL + nxL -4ln + lnx + -1noL + nxL = -1nxL + nxL Combine like terms: -1nxL + nxL = 0 -4ln + lnx + -1noL + nxL = 0 Factor out the Greatest Common Factor (GCF), 'n'. n(-4l + lx + -1oL + xL) = 0Subproblem 1
Set the factor 'n' equal to zero and attempt to solve: Simplifying n = 0 Solving n = 0 Move all terms containing l to the left, all other terms to the right. Add '-1n' to each side of the equation. n + -1n = 0 + -1n Remove the zero: 0 = -1n Simplifying 0 = -1n The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-4l + lx + -1oL + xL)' equal to zero and attempt to solve: Simplifying -4l + lx + -1oL + xL = 0 Solving -4l + lx + -1oL + xL = 0 Move all terms containing l to the left, all other terms to the right. Add 'oL' to each side of the equation. -4l + lx + -1oL + oL + xL = 0 + oL Combine like terms: -1oL + oL = 0 -4l + lx + 0 + xL = 0 + oL -4l + lx + xL = 0 + oL Remove the zero: -4l + lx + xL = oL Add '-1xL' to each side of the equation. -4l + lx + xL + -1xL = oL + -1xL Combine like terms: xL + -1xL = 0 -4l + lx + 0 = oL + -1xL -4l + lx = oL + -1xL The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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